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Mathematics > Quantum Algebra

Title: Exterior differential algebras and flat connections on Weyl groups

Abstract: We study some aspects of noncommutative differential geometry on a finite Weyl group in the sense of S. Woronowicz, K. Bresser {\it et al.}, and S. Majid. For any finite Weyl group $W$ we consider the subalgebra generated by flat connections in the left-invariant exterior differential algebra of $W.$
For root systems of type $A$ and $D$ we describe a set of relations between the flat connections, which conjecturally is a complete set.
Subjects: Quantum Algebra (math.QA)
Cite as: arXiv:math/0407291 [math.QA]
  (or arXiv:math/0407291v3 [math.QA] for this version)

Submission history

From: Anatol Kirillov [view email]
[v1] Fri, 16 Jul 2004 10:19:02 GMT (9kb)
[v2] Sat, 17 Jul 2004 06:46:32 GMT (66kb)
[v3] Tue, 20 Jul 2004 03:31:36 GMT (9kb)